Theorems · Theorem · commutative algebra
MvPowerSeries.HasSubst.toMvPowerSeries
∀ {σ : Type u_2} {R : Type u_4} [inst : CommRing R] {f : PowerSeries R},
PowerSeries.constantCoeff f = 0 → MvPowerSeries.HasSubst fun x => (PowerSeries.toMvPowerSeries x) f- Defined in
- Mathlib.RingTheory.MvPowerSeries.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Finsuppproof · cited by 5,255
- AlgHomstatement · cited by 3,236
- Finsupp.supportproof · cited by 828
- PowerSeriesstatement and proof · cited by 797
- MvPowerSeriesstatement · cited by 659
- Set.Finite.subsetproof · cited by 285
- IsNilpotentproof · cited by 248
- PowerSeries.constantCoeffstatement and proof · cited by 126
- MvPowerSeries.HasSubststatement · cited by 74
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